A local radial basis function collocation method for band structure computation of 3D phononic crystals

H Zheng, Ch Zhang, James Yang

Research output: Contribution to journalArticle

1 Citation (Scopus)


In this paper, we further extend the local radial basis function collocation method (LRBFCM) for efficient computation of band structures of phononic crystals from 2D to 3D. The proposed LRBFCM uses one fictitious node to tackle instability problems caused by calculation of derivatives of the wave pressure. A few examples of sound pressure wave propagation are modelled to validate the developed method. Comparisons with finite element modeling demonstrate the high stability and efficiency of the new method in computation of band structures of 3D phononic crystals.

Original languageEnglish
Pages (from-to)1954-1964
Number of pages11
JournalApplied Mathematical Modelling
Early online date11 Sep 2019
Publication statusPublished - 1 Jan 2020



  • Band structures
  • Eigenvalue problems
  • Interface conditions
  • Phononic crystals
  • Radial basis functions
  • Wave propagation

ASJC Scopus subject areas

  • Modelling and Simulation
  • Applied Mathematics

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